Prime Factors of 80004

Steps to find Prime Factors of 80004 by Division Method

To find the primefactors of 80004 using the division method, follow these steps:

• Step 1. Start dividing 80004 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 80004, which is 2. Divide 80004 by 2 to obtain the quotient (40002).
  80004 ÷ 2 = 40002
• Step 3. Repeat step 1 with the obtained quotient (40002).
  40002 ÷ 2 = 20001
  20001 ÷ 3 = 6667
  6667 ÷ 59 = 113
  113 ÷ 113 = 1

So, the prime factorization of 80004 is, 80004 = 2 x 2 x 3 x 59 x 113.

Steps to find Prime Factors of 80004 by Factor Tree Method

We can follow the same procedure using the factor tree of 80004 as shown below:

So, the prime factorization of 80004 is, 80004 = 2 x 2 x 3 x 59 x 113.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 80004 are 2 x 2 x 3 x 59 x 113.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 80004 but not a prime factor of 80004.

Frequently Asked Questions

• Which is the smallest prime factor of 80004?

  Smallest prime factor of 80004 is 2.

• What is the prime factorization of 80004?

  Prime factorization of 80004 is 2 x 2 x 3 x 59 x 113.

• What are the factors of 80004?

  Factors of 80004 are 1 , 2 , 3 , 4 , 6 , 12 , 59 , 113 , 118 , 177 , 226 , 236 , 339 , 354 , 452 , 678 , 708 , 1356 , 6667 , 13334 , 20001 , 26668 , 40002 , 80004.

• Is 80004 a prime number or a composite number?

  80004 is a composite number.

• Is 80004 a prime number?

  false, 80004 is not a prime number.

• Which is the largest prime factors of 80004?

  The largest prime factor of 80004 is 113.

• What is the sum of all prime factors of 80004?

  Prime factors of 80004 are 2 x 2 x 3 x 59 x 113. Therefore, their sum is 179.

• What numbers are the prime factors of 80004?

  Prime factors of 80004 are 2 , 2 , 3 , 59 , 113.

• What is the sum of all odd prime factors of 80004?

  Prime factors of 80004 are 2 , 2 , 3 , 59 , 113, out of which 3 , 59 , 113 are odd numbers. So, the sum of odd prime factors of 80004 is 3 + 59 + 113 = 175.